{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YTH4L5VCIL27G7LM3DJ5YEJFC5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1f360126507bb7f0a3dff10a876f425062a34255f24331f2ad49bab2a54f7645","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-12-20T14:48:52Z","title_canon_sha256":"21c8c17469428e953ee8b48dd2a71dfdaa9f53a74190b2dff785ed179e0da9b9"},"schema_version":"1.0","source":{"id":"1312.5969","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5969","created_at":"2026-05-17T23:53:14Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5969v3","created_at":"2026-05-17T23:53:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5969","created_at":"2026-05-17T23:53:14Z"},{"alias_kind":"pith_short_12","alias_value":"YTH4L5VCIL27","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YTH4L5VCIL27G7LM","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YTH4L5VC","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:f0b232cc08721509d4fdef2ddc6b8a13601da844d0022ba8cdf2e83721193856","target":"graph","created_at":"2026-05-17T23:53:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The paper introduces a general method to construct conformal measures for a local homeomorphism on a locally compact non-compact Hausdorff space, subject to mild irreducibility-like conditions. Among others the method is used to give necessary and sufficient conditions for the existence of eigenmeasures for the dual Ruelle operator associated to a locally compact non-compact irreducible Markov shift equipped with a uniformly continuous potential function. As an application to operator algebras the results are used to determine for which $\\beta$ there are gauge invariant $\\beta$-KMS weights on ","authors_text":"Klaus Thomsen","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-12-20T14:48:52Z","title":"Dissipative conformal measures on locally compact spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5969","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:79ed1a9c7f927d5def182ba11e885a512374915008deadef5c54fcac8db38649","target":"record","created_at":"2026-05-17T23:53:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1f360126507bb7f0a3dff10a876f425062a34255f24331f2ad49bab2a54f7645","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-12-20T14:48:52Z","title_canon_sha256":"21c8c17469428e953ee8b48dd2a71dfdaa9f53a74190b2dff785ed179e0da9b9"},"schema_version":"1.0","source":{"id":"1312.5969","kind":"arxiv","version":3}},"canonical_sha256":"c4cfc5f6a242f5f37d6cd8d3dc1125174952d4638ddb23dda2fa99f90d69f69d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4cfc5f6a242f5f37d6cd8d3dc1125174952d4638ddb23dda2fa99f90d69f69d","first_computed_at":"2026-05-17T23:53:14.798931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:14.798931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y9KUCBpo7/4QNyxGVwiYCm3jqLSk2TAQz+V+ktZTRpYzNwv2hFOmHEucow0/79E5o/oolW0EhHzwskvzXpiABA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:14.799612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5969","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79ed1a9c7f927d5def182ba11e885a512374915008deadef5c54fcac8db38649","sha256:f0b232cc08721509d4fdef2ddc6b8a13601da844d0022ba8cdf2e83721193856"],"state_sha256":"a4f7f091a5a268564d5124b14325559d49b0a62a716ad65c66cfdf75e5094d1b"}